Express the Vector as a Product of Its Length and Direction

question 116

Multiple Choice

Express the vector as a product of its length and direction.
--5i + 5j + 5k

• A) \(5 \sqrt { 3 } \left( - \frac { \sqrt { 3 } } { 3 } \mathbf { i } + \frac { \sqrt { 3 } } { 3 } \mathbf { j } + \frac { \sqrt { 3 } } { 3 } \mathbf { k } \right)\)
• B) \(\frac { \sqrt { 3 } } { 15 } \left( - \frac { \sqrt { 3 } } { 3 } \mathbf { i } + \frac { \sqrt { 3 } } { 3 } \mathbf { j } + \frac { \sqrt { 3 } } { 3 } \mathbf { k } \right)\)
• C) \(5 \sqrt { 3 } \left( - \frac { 1 } { 75 } \mathbf { i } + \frac { 1 } { 75 } \mathbf { j } + \frac { 1 } { 75 } \mathbf { k } \right)\)
• D) \(5 ( - \mathbf { i } + \mathbf { j } + \mathbf { k } )\)

---

Definitions:

Probability

A measure of the likelihood of a certain event or outcome occurring, expressed as a number between 0 and 1.

Probability Distribution

A mathematical function that describes the likelihood of obtaining the possible values that a random variable can assume.

Daily Demand

The total quantity of a product or service required by the market within one day.

Computers

Electronic devices that can store, retrieve, and process data, performing calculations and operations according to a set of instructions known as programs.